Sentence examples for by using our main from inspiring English sources

By using our main result, we have the following results in Hilbert spaces.

Further, by using our main results, we prove some results about multidimensional common fixed points.

By using our main result and these three examples, we obtain the following results.

Noting that and are constants, and, we can obtain many special integral inequalities by using our main results.

Furthermore, by using our main result, we obtain two interesting theorems involving variational inequality problems and variational inclusion problems.

Further, by using our main results, we give some common fixed results in partially ordered b-metric spaces.

We shall argue by contradiction using as our main tool the well known Goebel-Karlovitz lemma [26, 27] whose statement is as follows: Let X be a Banach space and T: K → K be a nonexpansive mapping, where K is a minimal nonempty T -invariant convex subset of X.

You can find people, offices, and services by using the main search function on this site.

As an application, we solve the hierarchical variational inequality problem by using the main theorem.

So the conclusion of the example cannot be obtained by using the main results in [18, 19].

Now, by using the main idea of this paper, we define α-weakly Zamfirescu selfmaps as follows.